95443 ÷ 3 = 31814 R1
Alright, let's work through the division of 95443 by 3 step by step.

Step 1:
3 goes into 9 3 times with a remainder of 0.
Write down 3 as next digit of of the result. 
Result so far: 3
Subtract 9 from 9 to get 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 3

Step 2:
3 goes into 5 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 31
Subtract 3 from 5 to get 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 3

Step 3:
3 goes into 24 8 times with a remainder of 0.
Write down 8 as next digit of of the result. 
Result so far: 318
Subtract 24 from 24 to get 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 3

Step 4:
3 goes into 4 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 3181
Subtract 3 from 4 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 3

Step 5:
3 goes into 13 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 31814
Subtract 12 from 13 to get 1.

The final result is 31814 with a remainder of 1.